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Dynamic Optimization, Second Edition: The Calculus of Variations and Optimal Control in Economics and Management (Dover Books on Mathematic
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An excellent financial research tool, this classic focuses on the methods of solving continuous time problems. The two-part treatment covers closely related approaches to the calculus of variations and optimal control. In the two decades since its initial publication, the text has defined dynamic optimization for courses in economics and management science.
Simply, clearly, and succinctly written chapters introduce new developments, expound upon underlying theories, and cite examples. Exercises extend the development of theories, provide working examples, and indicate further uses of the methods. Geared toward management science and economics PhD students in dynamic optimization courses as well as economics professionals, this volume requires a familiarity with microeconomics and nonlinear programming. Extensive appendices provide introductions to calculus optimization and differential equations.
- Sales Rank: #334292 in Books
- Published on: 2012-11-21
- Released on: 2012-10-24
- Original language: English
- Number of items: 1
- Dimensions: 8.90" h x .80" w x 5.90" l, 1.05 pounds
- Binding: Paperback
- 400 pages
About the Author
Morton I. Kamien (1938–2011) helped to build Northwestern University's Kellogg School of Business, where he served as Associate Dean for Academic Affairs and directed the Heizer Center for Entrepreneurial Studies for nearly 20 years. Nancy L. Schwartz was the Morrison Professor of Decision Sciences, where in 1970 she was the Kellogg School's first woman faculty member appointed to an endowed chair. She chaired the Department of Managerial Economics and Decision Sciences and served as Director of the school's doctoral program until her death in 1981.
Most helpful customer reviews
4 of 4 people found the following review helpful.
A nice reference book
By Qingtian Zhou
This is a required book for my DO course in economics.
I should admit, however, that having a limited background in mathematics, I do not benefit from this book as much as A. Chiang's *Elements of Dynamic Optimization* and D. Leonard and N. Van Long's *Optimal Control Theory and Static Optimization in Economics* in terms of intuition building. Nevertheless, it is a very nice reference book, written in a clear and rigorous manner, and provides a number of classical and prototype examples.
One thing to mention is that the first part of the book on calculus of variation is not a must-read if the second part of optimal control is what you are interested in, but I would definitely recommend reading the entire book if your intuitions are solid enough.
3 of 3 people found the following review helpful.
Concise and well written
By Yang Wang
This is the best text for dynamic optimization theory in economics that I have used. Explanations are concise and examples are well thought out. Consider this as a supplement to any macro text or a standalone text for a dynamic optimization theory class. Does not really go into numerical solutions/programming.
0 of 0 people found the following review helpful.
Traditional arguments of mathematics by a modern view.
By Edoardo Angeloni
THe authors tals about the usual questions of the calculus of variations. Particularly this approach follows the Euler equation, the horizon in game theory and also similar facts. After we can read the part of the optimal control, where the explications are sufficiently adapt to allow to the student of obtaining a standard level. The two appendix are related to the calcule applications, using the consuete procedures, whom we must consider in those cases. The lecture of this book is sufficiently complex, but surely this way of studying is interesting.
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